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>>Wave Optics
>>Young's Double Slit Experiment
>> $A parallel beam of light of wavelength 6$

Question

A parallel beam of light of wavelength 600 nm is incident normally on a slit of width d. If the distance between the slits and the screen is 0.8 m and the distance of 2nd order maximum from the center of the screen is 15 mm. The width of the slit is

A

40 $μ m$

B

80 $μ m$

C

160 $μ m$

D

200 $μ m$

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Updated on : 2022-09-05

Solution

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Correct option is B)

Distance of $2^{n d}$ order maximum form the centre of the screen
$x = \frac{5}{2} \frac{D λ}{d}$
Here, $D = 0.8 m, x = 15 m m = 15 \times 1 0^{- 3} m$

$λ = 600 n m = 600 n m = 600 \times 1 0^{- 9} m$

$∴ d = \frac{5}{2} \cdot \frac{D λ}{x} = \frac{5}{2} \times \frac{0 . 8 \times 6 0 0 \times 1 0 ^{- 9}}{1 5 \times 1 0 ^{- 3}} = 80 μ m$

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